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Trava [24]
3 years ago
5

A teacher wants to buy 9 boxes of granola bars for a school trip. Each box usually costs $7, but many grocery stores are having

a sale on granola bars this week. Different stores are selling boxes of granola bars at different discounts.
Mathematics
1 answer:
Novay_Z [31]3 years ago
5 0

Answer:

well I think the question's not complete but if that's the question then 9 boxes would cost about $63 dollars. since some stores have a sale, you should add the word 'about' or 'around' with the answer. hope it was helpful ))

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If P and Q are two sets then n( P-Q) means ?
Lapatulllka [165]

\huge{\mathbb{ \tt{ANSWER}}}

I shall use the symbol U for union

^ for intersection

~ for complement

<h3 /><h3>----------------------------------------------------------------------------------------------------</h3>

The property of set subtraction states that for any sets X and Y, X-Y = X ^ Y~

That is in words, X throw away Y is the same as the intersection of X and the complement of Y

or X and anything NOT in Y

At the SET level, the proof looks like this:

(P-Q) U (Q-P) = « given

(P^Q~) U (Q ^ P~) = « property of set subtraction

(P U Q) ^ (P U P~) ^ (Q~ U Q) ^ (Q~ U P~) = « distributive property

(P u Q) ^ (Q~ U P~) = « Union of any set with it's complement is the universal

set which gets dropped by any intersection of a non-universal set

(P u Q ) ^ (Q ^ P)~ = « De Morgan's Law

(P u Q) - (Q ^ P) = « property of set subtraction

(P u Q) - (P ^ Q) « commutative property

<h3>----------------------------------------------------------------------------------------------------</h3>

At the ELEMENT level, the proof looks like this:

» Proves left side is subset of right side

If x is in (P-Q) U (Q-P) then x is in (P-Q) OR x is in (Q-P)

If x is in P-Q then x is in P but not in Q.

Then X is in P U Q.

Since x is not in Q, x is NOT in P ^ Q

Hence x is in P U Q but NOT in P^Q, which

means it is an element if (P U Q) - (P ^ Q)

Therefore x is an element of the set defined by the right side, which means (P-Q) U (Q-P) is a subset of (P U Q) - (P ^ Q)

« proves right side is subset of the left side

If x is an element of (P U Q) - (P ^ Q) then

x is in (P U Q) but NOT in (P^Q)

Since x is in P U Q, x is in P OR x is in Q.

Since x is NOT in (P^Q) then x is NOT in BOTH P and Q.

Hence x is in either P or Q but not both.

If x is in P, then x is not in Q, so x is in P-Q.

Therefore x is in (P-Q) U (Q-P).if x is in Q, then x is not in P, so x is in Q-P.Therefore x is in (Q-P) U (P-Q).There x is an element of set defined by the left side, which menas (P u Q)-(P ^Q) is a subset of (P-Q) U (Q-P).

#CarryOnLearning

#LetsEnjoyTheSummer

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8 0
3 years ago
(13 - 10 1/3 )+ 2 2/3
Komok [63]
The answer is 17 hope it helps
6 0
3 years ago
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If a room temperature roast cools from 68°F to 25°F in 5 hours at freezer temperature of 20°F,
Deffense [45]

Answer:

9 hours

Step-by-step explanation:

According to Newton's laws of cooling

dT/dt = -k(T - A)

Let U = T - A

dU/dT = 1

dU = dT

dt/dt = -kU

dT = -kU(dt)

dU/U = -kdt

On integration

ln(U) = -kt + C

U = Ce^-kt

T - A = Ce^-kt

T(0) = 68

T(5) = 25

68 - 20 = Ce^-k(0)

C = 48

and

25 -20 = 48e^-k(5)

5 = 48e^-5k

e^-5k = 5/48

-5k = ln (5/48)

k = - ln(5/48) / 5

k = - 0.4524

T - 20 = 48e^-0.4524t

When T = 21

21 -20 = 48e^-0.4524t

1 = 48e^-0..4524t

e^-0.4524t = 1/48

-0.4524t = ln (1/48)

t = - ln(1/48) / 0.4524

t = 8.5570

t= 9 hours ( to the nearest hour)

5 0
3 years ago
Simplify this expression. Write your answer using positive exponents.<br>​
storchak [24]
What expression ? There isn’t one
7 0
3 years ago
WHAT IS THE SOLUTION TO 5-2N= 17
ryzh [129]
N is equal to 11 because 5-2n=17 would be changed into 2n-5=17 because it would be -17 if it was the original problem so that is why 

7 0
3 years ago
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